EXPERIMENTAL STUDIES ON GUARANTEED-ACCURACY SOLUTIONS OF THE INITIAL-VALUE PROBLEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
EXPERIMENTAL STUDIES ON GUARANTEED-ACCURACY SOLUTIONS OF THE INITIAL-VALUE PROBLEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
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非线性常微分方程初值问题保精度解的实验研究
DOI：
10.1142/9789812831033_0013
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
J. Amemiya
中科院分区：
文献类型：
--
作者：
M. Iri;J. Amemiya
自动微分和区间微积分软件技术的发展，使我们能够对常微分方程初值问题进行数值构造区间解。在本文中，我们将报告如何将该方法作为实用技术应用于几个问题以及我们得到了什么观察结果。
The development of software technology of automatic differentiation and interval calculus has enabled us to numerically construct an interval solution for the initial-value problem of ordinary differential equations. In this paper, we will report how we applied this method to several problems as a practical technique and what observations we got.